Two-Photon Scattering in USC regime

ORAL

Abstract

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide [1]. We describe this problem using a spin-boson model with an Ohmic environment J(ω)=παω. We show that when coupling strength lays is about α≤1, the dynamics is well approximated by a polaron Hamiltonian, under the approximation of a conserved number of excitations. In this regime, we develop analytical predictions for the single- and two-photon scattering matrix computed with a Green's function method. These predictions are verified against time-evolved matrix-product-state simulations of propagating wavepackets interacting with a two-level system, showing the accuracy of the approximation. Our predictions for two-photon scattering can be verified using the scattering tomography techniques from Ref. [2]

[1] Two-Photon Scattering in USC regime, Vanessa Paulisch, Tao Shi, Juan José García-Ripoll, arXiv:1810.08439
[2] Multiphoton Scattering Tomography with Coherent States, Tomás Ramos, Juan José García-Ripoll, Phys. Rev. Lett. 119, 153601 (2017)

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Presenters

  • Juan Jose Garcia-Ripoll

    Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas (CSIC), Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Institute of Polymer Science and Technology, Madrid, Institute of Fundamental Physics, CSIC

Authors

  • Vanessa Paulisch

    Max-Planck-Institute of Quantum Optics

  • Tao Shi

    Institute of Theoretical Physics, Chinese Academy of Science, Institute of Theoretical Physics, Chinese Academy of Sciences

  • Juan Jose Garcia-Ripoll

    Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas (CSIC), Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Institute of Polymer Science and Technology, Madrid, Institute of Fundamental Physics, CSIC